Answer:
x = 41.81°, 138.19°, 210°, 330°
Explanation:
3cos(2x) + sin(x) = 1
subtract one from both sides
→ 3cos(2x) + sin(x) − 1 = 0
rewrite using trigonometry identities
→ 2 + sin(x) − 6sin²(x) = 0
solve x by substitution
f(x) = 2 + sin(x) − 6sin²(x)
= 2 + 4sin(x) - 3sin(x) − 6sin²(x)
= −2sinx(3sinx −2) − (3sinx−2)
= (3sinx −2)(−2sinx−1)
= −(3sinx −2)(2sinx+1)
f(x) = 2 + sin(x) − 6sin²(x) = 0
= −(3sinx −2)(2sinx+1) = 0
(3sinx −2) = 0 (2sinx+1) = 0
→sinx = 2/3 →sinx = −1/2
x = 41.81°, 138.19° x = 210°, 330°
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Answer:
40
Step-by-step explanation:
4/5 * q = 32
First you divide 4/5 by itself so you can eliminate it from the equation and then you have to divide 32 by 4/5 n when you do that you get 40. So q = 40.
<span>Now we need to find the percentage of scores that are below -1.75. To do this, we need to look -1.75 up in the normal distribution table (your teacher should have given you one or there should be one in your textbook). If we do this, we find that approximately 4% of scores are below -1.75.
z = (X - M)/S, where X is a score, M is the mean and S is the standard deviation. In your case, we have z = (1 - 2.4)/.8. This gives us a z-score of -1.75.</span>